On small energy stabilization in the NLKG with a trapping potential

DOI10.1016/j.na.2016.08.009zbMath1356.35142arXiv1511.04672OpenAlexW2962897250MaRDI QIDQ329796

Masaya Maeda, Scipio Cuccagna, Phan Van Tuoc

Publication date: 21 October 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04672

zbMATH Keywords

asymptotic stabilityscattering theoryBirkhoff normal formsinteraction of discrete and continuous modessemilinear Klein-Gordon equation

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items

On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential ⋮ Existence and Asymptotic Stability of Quasi-Periodic Solutions of Discrete NLS with Potential ⋮ Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Asymptotic stability of kink with internal modes under odd perturbation ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential

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